253138272 has 24 divisors (see below), whose sum is σ = 664488216. Its totient is φ = 84379392.

The previous prime is 253138267. The next prime is 253138283. The reversal of 253138272 is 272831352.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×253138272³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318333 + ... + 1318524.

It is an arithmetic number, because the mean of its divisors is an integer number (27687009).

Almost surely, 2^253138272 is an apocalyptic number.

It is an amenable number.

253138272 is an abundant number, since it is smaller than the sum of its proper divisors (411349944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253138272 is a wasteful number, since it uses less digits than its factorization.

253138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636870 (or 2636862 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 253138272 is about 15910.3196699501. The cubic root of 253138272 is about 632.5855546234.

The spelling of 253138272 in words is "two hundred fifty-three million, one hundred thirty-eight thousand, two hundred seventy-two".